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The superfluid properties of the attractive Hubbard model in a Zeeman magnetic field, and in the weak coupling regime have been investigated. The temperature and magnetic field dependencies of the order parameter have been analyzed.…

Strongly Correlated Electrons · Physics 2008-08-13 Agnieszka Kujawa , Roman Micnas

We use non-equilibrium dynamical mean-field theory to demonstrate the existence of a critical interaction in the real-time dynamics of the Hubbard model after an interaction quench. The critical point is characterized by fast thermalization…

Strongly Correlated Electrons · Physics 2009-09-02 Martin Eckstein , Marcus Kollar , Philipp Werner

We propose that a tunable generalized three-dimensional Hofstadter Hamiltonian can be realized by engineering the Raman-assisted hopping of ultracold atoms in a cubic optical lattice. The Hamiltonian describes a periodic lattice system…

Quantum Gases · Physics 2017-04-19 Dan-Wei Zhang , Rui-Bin Liu , Shi-Liang Zhu

We propose a stroboscopic method to dynamically decouple the effects of two-body atom-atom interactions for ultracold atoms, and realize a system dominated by elastic three-body interactions. Using this method, we show that it is possible…

Quantum Gases · Physics 2014-11-06 K. W. Mahmud , E. Tiesinga , P. R. Johnson

We investigate a system of dipolar bosons in an optical lattice with local two and three-body interactions. Using the mean-field theory approach, we obtain the ground state phase diagram of the extended Bose-Hubbard (EBH) model with both…

Quantum Gases · Physics 2016-12-21 Manpreet Singh , Tapan Mishra

The entanglement properties of some novel quantum systems are studied that are inspired by recent developments in cold-atom technology. A triangular optical lattice of two atomic species can be employed to generate a variety of spin-1/2…

Quantum Physics · Physics 2007-05-23 Jiannis K. Pachos

Cold Fermionic atoms with three different hyperfine states confined in optical lattices show pronounced Atomic Density Waves (ADWs). These ADWs are pinned due to the confining potential that traps the atoms in the optical lattice and can be…

Strongly Correlated Electrons · Physics 2010-11-16 Rafael A. Molina , Jorge Dukelsky , Peter Schmitteckert

We theoretically study the possibility of reaching the antiferromagnetic phase of the Hubbard model by starting from a normal gas of trapped fermionic atoms and adiabatically ramping up an optical lattice. Requirements on the initial…

Statistical Mechanics · Physics 2014-11-18 Arnaud Koetsier , R. A. Duine , Immanuel Bloch , H. T. C. Stoof

We investigate the ground state phase diagram of hard-core boson system with repulsive two-body and attractive three-body interactions in one-dimensional optic lattice. When these two interactions are comparable and increasing the hopping…

Statistical Mechanics · Physics 2015-07-23 Chen Cheng , Bin-Bin Mao , Fu-Zhou Chen , Hong-Gang Luo

We realize and study the ionic Hubbard model using an interacting two-component gas of fermionic atoms loaded into an optical lattice. The bipartite lattice has honeycomb geometry with a staggered energy-offset that explicitly breaks the…

We study a gas of strongly polarized cold fermions in an optical lattice when the excited p-bands are populated. We derive the relevant Hamiltonian and discuss the expected phase diagram for both repulsive and attractive interactions. In…

Statistical Mechanics · Physics 2009-11-13 J. -P. Martikainen , E. Lundh , T. Paananen

The adsorbed atoms exhibit tendency to occupy a triangular lattice formed by periodic potential of the underlying crystal surface. Such a lattice is formed by, e.g., a single layer of graphane or the graphite surfaces as well as (111)…

Strongly Correlated Electrons · Physics 2021-05-05 Konrad Jerzy Kapcia

We investigate quantum phase transitions occurring in a system of strongly interacting ultracold bosons in a 1D optical lattice. After discussing the commensurate-incommensurate transition, we focus on the phases appearing at incommensurate…

Quantum Gases · Physics 2015-05-27 Achilleas Lazarides , Olivier Tieleman , Cristiane Morais Smith

Ultracold Fermi atoms confined in optical lattices coupled to quantized modes of an optical cavity are an ideal scenario to engineer quantum simulators in the strongly interacting regime. The system has both short range and cavity induced…

We study the atom-light interaction in the fully quantum regime, with focus on off-resonant light scattering into a cavity from ultracold atoms trapped in an optical lattice. The detection of photons allows the quantum nondemolition (QND)…

A theoretical approach was developed for an exact numerical description of a pair of ultracold atoms interacting via a central potential that are trapped in a three-dimensional optical lattice. The coupling of center-of-mass and…

Quantum Physics · Physics 2013-05-29 Sergey Grishkevich , Alejandro Saenz

We study a simple model of N-component fermions with contact interactions which describes fermionic atoms with N=2F+1 hyperfine states loaded into a one-dimensional optical lattice. We show by means of analytical and numerical approaches…

Strongly Correlated Electrons · Physics 2011-10-13 S. Capponi , G. Roux , P. Lecheminant , P. Azaria , E. Boulat , S. R. White

We present a review of properties of ultracold atomic Fermi-Bose mixtures in inhomogeneous and random optical lattices. In the strong interacting limit and at very low temperatures, fermions form, together with bosons or bosonic holes, {\it…

Disordered Systems and Neural Networks · Physics 2009-11-11 V. Ahufinger , L. Sanchez-Palencia , A. Kantian , A. Sanpera , M. Lewenstein

We demonstrate that a kind of highly excited state of strongly attractive Hubbard model, named of Fermi super-Tonks-Girardeau state, can be realized in the spin-1/2 Fermi optical lattice system by a sudden switch of interaction from the…

Quantum Gases · Physics 2012-12-04 Li Wang , Zhihao Xu , Shu Chen

We formulate the Collective Quantum Field Theory for three-dimensional bosonic optical lattices and evaluate its consequences in a mean-field approximation to two collective fields, proposed by Fred Cooper et al. and in a lowest-order…

Quantum Gases · Physics 2014-01-22 H. Kleinert , Z. Narzikulov , Abdulla Rakhimov